16482768348096 has 252 divisors, whose sum is σ = 49969740217800. Its totient is φ = 5180262958080.

The previous prime is 16482768348089. The next prime is 16482768348113. The reversal of 16482768348096 is 69084386728461.

16482768348096 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 276 + 8 + 348 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487220910 + ... + 487254738.

Almost surely, 2^{16482768348096} is an apocalyptic number.

16482768348096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16482768348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984870108900).

16482768348096 is an abundant number, since it is smaller than the sum of its proper divisors (33486971869704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16482768348096 is a wasteful number, since it uses less digits than its factorization.

16482768348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34288 (or 34064 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 16482768348096 in words is "sixteen trillion, four hundred eighty-two billion, seven hundred sixty-eight million, three hundred forty-eight thousand, ninety-six".